Integer Powers of Anti-Bidiagonal Hankel Matrices

Jo˜ao Lita da Silva ()
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Jo˜ao Lita da Silva: NOVA University of Lisbon

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 1, 87-98

Abstract: Abstract In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.

Keywords: Hankel matrices; anti-bidiagonal matrices; Chebyshev polynomials (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0256-9

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